1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nat2105 [25]
3 years ago
12

Carly's age is 3 more than twice her sister's age, s. Which of the following expressions represents Carly's age?

Mathematics
2 answers:
AVprozaik [17]3 years ago
5 0

Answer:

2s + 3

Step-by-step explanation:

Check attachment

vlada-n [284]3 years ago
3 0

Answer:

x=3+2s

Step-by-step explanation:

If Carly's age be considered as x and Carly's sister age be considered as s then

The expression is as follows

x=3+2s

You might be interested in
Good morning can u help???
svp [43]

Answer:

Select the proportional relationship.

That is the only thing that is in the checkbox. It won't let you continue unless you get something.

8 0
2 years ago
Read 2 more answers
A water tank is in the shape of a cone.Its diameter is 50 meter and slant edge is also 50 meter.How much water it can store In i
Aneli [31]
To get the most accurate answer possible, we're going to have to go into some unsightly calculation, but bear with me here:

Assessing the situation:

Let's get a feel for the shape of the problem here: what step should we be aiming to get to by the end? We want to find out how long it will take, in minutes, for the tank to drain completely, given a drainage rate of 400 L/s. Let's name a few key variables we'll need to keep track of here:

V - the storage volume of our tank (in liters)
t - the amount of time it will take for the tank to drain (in minutes)

We're about ready to set up an expression using those variables, but first, we should address a subtlety: the question provides us with the drainage rate in liters per second. We want the answer expressed in liters per minute, so we'll have to make that conversion beforehand. Since one second is 1/60 of a minute, a drainage rate of 400 L/s becomes 400 · 60 = 24,000 L/min.

From here, we can set up our expression. We want to find out when the tank is completely drained - when the water volume is equal to 0. If we assume that it starts full with a water volume of V L, and we know that 24,000 L is drained - or subtracted - from that volume every minute, we can model our problem with the equation

V-24000t=0

To isolate t, we can take the following steps:

V-24000t=0\\ V=24000t\\ \frac{V}{24000}=t

So, all we need to do now to find t is find V. As it turns out, this is a pretty tall order. Let's begin:

Solving for V:

About units: all of our measurements for the cone-shaped tank have been provided for us in meters, which means that our calculations will produce a value for the volume in cubic meters. This is a problem, since our drainage rate is given to us in liters per second. To account for this, we should find the conversion rate between cubic meters and liters so we can use it to convert at the end.

It turns out that 1 cubic meter is equal to 1000 liters, which means that we'll need to multiply our result by 1000 to switch them to the correct units.

Down to business: We begin with the formula for the area of a cone,

V= \frac{1}{3}\pi r^2h

which is to say, 1/3 multiplied by the area of the circular base and the height of the cone. We don't know h yet, but we are given the diameter of the base: 50 m. To find the radius r, we divide that diameter in half to obtain r = 50/2 = 25 m. All that's left now is to find the height.

To find that, we'll use another piece of information we've been given: a slant edge of 50 m. Together with the height and the radius of the cone, we have a right triangle, with the slant edge as the hypotenuse and the height and radius as legs. Since we've been given the slant edge (50 m) and the radius (25 m), we can use the Pythagorean Theorem to solve for the height h:

h^2+25^2=50^2\\ h^2+625=2500\\ h^2=1875\\ h=\sqrt{1875}=\sqrt{625\cdot3}=25\sqrt{3}

With h=25\sqrt{3} and r=25, we're ready to solve for V:

V= \frac{1}{3} \pi(25)^2\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot625\cdot25\sqrt{3}\\ V= \frac{1}{3} \pi\cdot15625\sqrt{3}\\\\ V= \frac{15625\sqrt{3}\pi}{3}

This gives us our volume in cubic meters. To convert it to liters, we multiply this monstrosity by 1000 to obtain:

\frac{15625\sqrt{3}\pi}{3}\cdot1000= \frac{15625000\sqrt{3}\pi}{3}

We're almost there.

Bringing it home:

Remember that formula for t we derived at the beginning? Let's revisit that. The number of minutes t that it will take for this tank to drain completely is:

t= \frac{V}{24000}

We have our V now, so let's do this:

t= \frac{\frac{15625000\sqrt{3}\pi}{3}}{24000} \\ t= \frac{15625000\sqrt{3}\pi}{3}\cdot \frac{1}{24000} \\ t=\frac{15625000\sqrt{3}\pi}{3\cdot24000}\\ t=\frac{15625\sqrt{3}\pi}{3\cdot24}\\ t=\frac{15625\sqrt{3}\pi}{72}\\ t\approx1180.86

So, it will take approximately 1180.86 minutes to completely drain the tank, which can hold approximately V= \frac{15625000\sqrt{3}\pi}{3}\approx 28340615.06 L of fluid.
5 0
3 years ago
Six identically shaped place mats, marked a, b, c, d, e and f, are piled neatly in a stack. how many arrangements are possible i
Sedaia [141]
6
1. A, b, c
2. A, b, d
3. A, b, e
4. C, a, b
5. D, a, b
6. E, a, b

Hope I helped!
5 0
3 years ago
What is the smallest six-digit number you can make that is divisible by five ​
Crank

it's 100000

hope this helps!! :)

3 0
3 years ago
Which expression represents the word phrase six decreased by one third of a number?
sergij07 [2.7K]

Answer: 6-1/3n

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that
    15·1 answer
  • Drag a number into each line to create an equation that is true for all values of x
    12·1 answer
  • If -13m = -12, then m =
    10·1 answer
  • Help pleaseee it’s a quiz<br> 35 points
    8·1 answer
  • 6. In right triangle ABC, mZC=3y-10,
    12·1 answer
  • The perimeter of a rectangle is 60meters if the length of the rectangle is 14 meters ,what is the width of the rectangle?
    9·1 answer
  • F(-2)=3(-2)^5-(-2)^3+6(-2)^2-(-2)+1
    9·1 answer
  • 140 for 21 minutes how much for 18.minutes
    11·1 answer
  • PLS DO 3-4 I WILL BRAINLIST YOU AND USE THE DATA AND EXPLAIN IT PLSSS HELP
    10·1 answer
  • In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!